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arXiv · 1705.04060

Chiral Hodge cohomology and Mathieu moonshin

Bailin Song
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Abstract

We construct a filtration of chiral Hodge cohomolgy of a K3 surface $X$, such that its associated graded object is a unitary representation of the N=4 vertex algebra with central charge $6$ and its subspace of primitive vectors has the property: its equivariant character for a symplectic automorphism $g$ of $X$ agrees with the McKay-Thompson series for $g$ in Mathieu moonshine.

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Bailin Song. 2017-05-11. Chiral Hodge cohomology and Mathieu moonshin. https://arxiv.org/abs/1705.04060

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